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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 875 · 40 questions
TalentJR

How to think it through (30h − 5.5m): Minute hand angle (from 12) = minutes × 6. Hour hand angle = hours × 30 + minutes × 0.5. Angle between them = the difference; if it is more than 180°, take it away from 360°.

NameDateTime takenScore ___ / 40
  1. 1.How many degrees does the minute hand of a clock turn in 10 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 4:29? (in degrees) =
  3. 3.A clock shows 9:32. What time will it show 86 minutes later? (a) 10:58 (b) 11:08 (c) 10:48 (d) 11:58
  4. 4.How many degrees does the hour hand of a clock turn in 133 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 2:42? (in degrees) =
  6. 6.A clock shows 12:27. What time will it show 83 minutes later? (a) 2:00 (b) 1:40 (c) 2:50 (d) 1:50
  7. 7.What is the smaller angle between the hour hand and the minute hand at 11:59? (in degrees) =
  8. 8.How many degrees does the hour hand of a clock turn in 77 minutes? =
  9. 9.A clock shows 5:48. What time will it show 152 minutes later? (a) 8:30 (b) 8:10 (c) 8:20 (d) 9:20
  10. 10.What is the smaller angle between the hour hand and the minute hand at 3:58? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 12:00? (in degrees) =
  12. 12.How many degrees does the minute hand of a clock turn in 34 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 4:15? (in degrees) =
  14. 14.A clock shows 9:15. What time will it show 161 minutes later? (a) 12:56 (b) 11:46 (c) 12:06 (d) 11:56
  15. 15.How many degrees does the minute hand of a clock turn in 29 minutes? =
  16. 16.How many degrees does the hour hand of a clock turn in 173 minutes? =
  17. 17.A clock shows 12:03. What time will it show 116 minutes later? (a) 2:09 (b) 2:59 (c) 1:49 (d) 1:59
  18. 18.What is the smaller angle between the hour hand and the minute hand at 11:22? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 7:27? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 2 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 8:14? (in degrees) =
  22. 22.A clock shows 3:04. What time will it show 25 minutes later? (a) 3:29 (b) 4:29 (c) 3:39 (d) 3:19
  23. 23.What is the smaller angle between the hour hand and the minute hand at 11:11? (in degrees) =
  24. 24.A clock shows 12:53. What time will it show 127 minutes later? (a) 2:50 (b) 3:10 (c) 4:00 (d) 3:00
  25. 25.A clock shows 6:51. What time will it show 162 minutes later? (a) 9:23 (b) 9:43 (c) 10:33 (d) 9:33
  26. 26.How many degrees does the minute hand of a clock turn in 45 minutes? =
  27. 27.A clock shows 2:26. What time will it show 24 minutes later? (a) 3:00 (b) 3:50 (c) 2:50 (d) 2:40
  28. 28.A clock shows 2:52. What time will it show 141 minutes later? (a) 5:03 (b) 6:13 (c) 5:23 (d) 5:13
  29. 29.A clock shows 8:00. What time will it show 52 minutes later? (a) 8:42 (b) 8:52 (c) 9:52 (d) 9:02
  30. 30.How many degrees does the hour hand of a clock turn in 105 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 4:53? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 10:52? (in degrees) =
  33. 33.How many degrees does the hour hand of a clock turn in 48 minutes? =
  34. 34.How many degrees does the minute hand of a clock turn in 59 minutes? =
  35. 35.How many degrees does the hour hand of a clock turn in 76 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 5:31? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 10:05? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 4:52? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 4:00? (in degrees) =
  40. 40.A clock shows 11:09. What time will it show 90 minutes later? (a) 12:39 (b) 12:29 (c) 12:49 (d) 1:39

Answer key

  1. 60
  2. 39.5
  3. 10:58
  4. 66.5
  5. 171
  6. 1:50
  7. 5.5
  8. 38.5
  9. 8:20
  10. 131
  11. 0
  12. 204
  13. 37.5
  14. 11:56
  15. 174
  16. 86.5
  17. 1:59
  18. 151
  19. 61.5
  20. 12
  21. 163
  22. 3:29
  23. 90.5
  24. 3:00
  25. 9:33
  26. 270
  27. 2:50
  28. 5:13
  29. 8:52
  30. 52.5
  31. 171.5
  32. 14
  33. 24
  34. 354
  35. 38
  36. 20.5
  37. 87.5
  38. 166
  39. 120
  40. 12:39

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